On the uniform convergence of Gaussian quadrature rules for Cauchy principal value integrals and their derivatives

Ioakimidis, N. I.

doi:10.1090/S0025-5718-1985-0771040-8

On the uniform convergence of Gaussian quadrature rules for Cauchy principal value integrals and their derivatives
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Math. Comp. 44 (1985), 191-198 Request permission

Abstract:

The convergence of the aforementioned quadrature rules for integrands possessing Holder-continuous derivatives of an appropriate order is proved to be uniform and not only pointwise. The rate of convergence is also established and an application to the numerical solution of singular integral equations is made.

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